The kitchen in Shane’s house is a square. The points P(0, 7) and Q(4, 1) represent the opposite vertices of his kitchen in a drawing on a coordinate grid. Which of these ordered pairs could be a third vertex?
Answer

(-1, 1)

(-1, 2)

(4, 7)

(5, 7)

Question

The kitchen in Shane’s house is a square. The points P(0, 7) and Q(4, 1) represent the opposite vertices of his kitchen in a drawing on a coordinate grid. Which of these ordered pairs could be a third vertex?
Answer
		
(-1, 1)
		
(-1, 2)
		
(4, 7)
		
(5, 7)

anonymous · Answer

If you plot P(0,7) and Q(4,1), you would see that they are two corners of a square. Since Shane's kitchen is a square, that means the third point must be either (0,1) or (4,7) in order to make a square.